Consider an RL circuit with an initial current of Io for t<0, and then for t>0, the circuit is excited with a 10 V DC source, the complete response of the circuit will be a combination of? Only steady-state valueOnly final valueBoth natural and final valuesOnly natural response
Question
Consider an RL circuit with an initial current of Io for t<0, and then for t>0, the circuit is excited with a 10 V DC source, the complete response of the circuit will be a combination of? Only steady-state valueOnly final valueBoth natural and final valuesOnly natural response
Solution
The complete response of the circuit will be a combination of both natural and final values.
Here's why:
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The natural response (also known as the homogeneous or transient response) is the circuit's response to the initial conditions only. It's what the circuit does naturally, based on its capacitance, inductance, and resistance, without any external voltage or current source. In this case, it's the response to the initial current Io for t<0.
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The final value (also known as the forced or steady-state response) is the circuit's response to the external excitation only, ignoring the initial conditions. It's what the circuit is forced to do by the external source. In this case, it's the response to the 10 V DC source for t>0.
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The complete response is the sum of the natural response and the final value. It describes the total behavior of the circuit, taking into account both what the circuit does naturally and what it is forced to do by the external source.
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